1993360320 has 448 divisors, whose sum is σ = 8391997440. Its totient is φ = 435511296.

The previous prime is 1993360309. The next prime is 1993360333. The reversal of 1993360320 is 230633991.

It is a happy number.

1993360320 is a `hidden beast` number, since 19 + 9 + 33 + 603 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1390324 + ... + 1391756.

Almost surely, 2^1993360320 is an apocalyptic number.

1993360320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1993360320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4195998720).

1993360320 is an abundant number, since it is smaller than the sum of its proper divisors (6398637120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1993360320 is a wasteful number, since it uses less digits than its factorization.

1993360320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 1993360320 is about 44647.0639572190. The cubic root of 1993360320 is about 1258.5252587196.

The spelling of 1993360320 in words is "one billion, nine hundred ninety-three million, three hundred sixty thousand, three hundred twenty".